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Finding the Fourth Proportional to 54,316.98, 81,446.31 and 24,741.45

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Solution

The fourth proportional to 54,316.98, 81,446.31 and 24,741.45 is: 37,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,316.98 : 81,446.31 = 24,741.45 : x
  2. Step 2: Convert to fraction form
    54,316.98/81,446.31 = 24,741.45/x
  3. Step 3: Cross multiply
    54,316.98x = 81,446.31 × 24,741.45
  4. Step 4: Simplify right side
    54,316.98x = 2,015,099,806.55
  5. Step 5: Solve for x
    x = 2,015,099,806.55/54,316.98
  6. Step 6: Final answer
    x = 37,098.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.